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Finding the Fourth Proportional to 9,198.49, 13,797.47 and 2,958.45

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Solution

The fourth proportional to 9,198.49, 13,797.47 and 2,958.45 is: 4,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.49 : 13,797.47 = 2,958.45 : x
  2. Step 2: Convert to fraction form
    9,198.49/13,797.47 = 2,958.45/x
  3. Step 3: Cross multiply
    9,198.49x = 13,797.47 × 2,958.45
  4. Step 4: Simplify right side
    9,198.49x = 40,819,125.12
  5. Step 5: Solve for x
    x = 40,819,125.12/9,198.49
  6. Step 6: Final answer
    x = 4,437.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.